This result follows from the remainder theorem: the remainder upon dividing f(x) by x - c is exactly f(c).
So if
[tex]f(x)=5x^5+4x-3[/tex]
then the remainder upon dividing this by x - 2 is f(2), or
[tex]f(2)=5\cdot2^5+4\cdot2-3 = \boxed{165}[/tex]
